Atkin-Lehner |
2+ 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
51920a |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1256464000000 = 210 · 56 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ -6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25843,-1598142] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:30:1] [393:6996:1] |
Generators of the group modulo torsion |
j |
1864028457227556/1227015625 |
j-invariant |
L |
8.672181936574 |
L(r)(E,1)/r! |
Ω |
0.37655722312493 |
Real period |
R |
11.515091736399 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25960d1 |
Quadratic twists by: -4 |